Magma V2.19-8 Wed Aug 21 2013 01:08:45 on localhost [Seed = 3187385573] Type ? for help. Type -D to quit. Loading file "L14n43210__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n43210 geometric_solution 12.00595117 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.464636363519 1.002815025726 0 5 7 6 0132 0132 0132 0132 1 2 2 2 0 1 0 -1 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -1 2 0 0 1 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.375634167534 0.720316436676 7 0 4 4 0132 0132 2103 0321 2 2 2 2 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 0 1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.125968820874 1.434188516258 8 9 10 0 0132 0132 0132 0132 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.375634167534 0.720316436676 2 2 0 9 2103 0321 0132 0132 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.125968820874 1.434188516258 10 1 11 9 2103 0132 0132 2103 1 2 2 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.820024800917 1.085742525756 8 12 1 11 2103 0132 0132 0132 1 2 0 2 0 0 1 -1 1 0 0 -1 -2 -1 0 3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -2 1 0 0 1 -1 1 1 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.820024800917 1.085742525756 2 10 9 1 0132 2103 2103 0132 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.085632363699 0.548365332451 3 12 6 11 0132 3201 2103 3201 0 2 1 2 0 0 2 -2 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.820024800917 1.085742525756 7 3 4 5 2103 0132 0132 2103 2 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.085632363699 0.548365332451 12 7 5 3 3201 2103 2103 0132 2 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.820024800917 1.085742525756 12 8 6 5 0213 2310 0132 0132 1 2 2 0 0 0 1 -1 -1 0 1 0 1 -1 0 0 1 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 -1 0 1 0 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.458923909653 0.422274303039 11 6 8 10 0213 0132 2310 2310 1 2 2 0 0 0 0 0 -1 0 0 1 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.458923909653 0.422274303039 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_11'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_0'], 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_0011_4'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : negation(d['c_0101_3']), 'c_1010_11' : negation(d['c_0101_3']), 'c_1010_10' : negation(d['c_1001_1']), 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0110_9']), 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_7' : negation(d['c_0110_9']), 'c_1100_6' : negation(d['c_0110_9']), 'c_1100_1' : negation(d['c_0110_9']), 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : d['c_0011_4'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_9']), 'c_1100_10' : negation(d['c_0110_5']), 'c_1100_12' : d['c_0011_10'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_0011_4'], 'c_1010_9' : negation(d['c_1001_1']), 'c_1010_8' : negation(d['c_1001_11']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_10'], 's_3_10' : d['1'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0101_10']), 'c_0101_12' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_4']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0011_11'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0110_5, c_0110_9, c_1001_0, c_1001_1, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 23/16*c_1001_11^7 - 215/64*c_1001_11^6 - 1499/256*c_1001_11^5 - 923/128*c_1001_11^4 - 987/128*c_1001_11^3 - 33/8*c_1001_11^2 - 615/256*c_1001_11 - 51/128, c_0011_0 - 1, c_0011_10 - 5/8*c_1001_11^7 - 13/32*c_1001_11^6 + 135/128*c_1001_11^5 + 47/32*c_1001_11^4 + 101/32*c_1001_11^3 + 253/64*c_1001_11^2 + 165/128*c_1001_11 + 135/64, c_0011_11 + 1, c_0011_4 + 1/68*c_1001_11^7 - 327/272*c_1001_11^6 - 4043/1088*c_1001_11^5 - 881/136*c_1001_11^4 - 2531/272*c_1001_11^3 - 4967/544*c_1001_11^2 - 6401/1088*c_1001_11 - 1827/544, c_0101_0 - 9/34*c_1001_11^7 + 189/136*c_1001_11^6 + 2489/544*c_1001_11^5 + 6895/1088*c_1001_11^4 + 10889/1088*c_1001_11^3 + 10971/1088*c_1001_11^2 + 5993/1088*c_1001_11 + 2949/544, c_0101_1 + 239/272*c_1001_11^7 + 3039/1088*c_1001_11^6 + 23939/4352*c_1001_11^5 + 19681/2176*c_1001_11^4 + 22359/2176*c_1001_11^3 + 4721/544*c_1001_11^2 + 25559/4352*c_1001_11 + 2593/2176, c_0101_10 + 9/4*c_1001_11^7 + 101/16*c_1001_11^6 + 593/64*c_1001_11^5 + 865/64*c_1001_11^4 + 855/64*c_1001_11^3 + 523/64*c_1001_11^2 + 105/16*c_1001_11 + 9/16, c_0101_3 - 13/8*c_1001_11^7 - 189/32*c_1001_11^6 - 1321/128*c_1001_11^5 - 959/64*c_1001_11^4 - 1057/64*c_1001_11^3 - 97/8*c_1001_11^2 - 1005/128*c_1001_11 - 171/64, c_0110_5 - 1, c_0110_9 - 5/8*c_1001_11^7 - 13/32*c_1001_11^6 + 135/128*c_1001_11^5 + 47/32*c_1001_11^4 + 101/32*c_1001_11^3 + 253/64*c_1001_11^2 + 165/128*c_1001_11 + 135/64, c_1001_0 + 239/272*c_1001_11^7 + 3039/1088*c_1001_11^6 + 23939/4352*c_1001_11^5 + 19681/2176*c_1001_11^4 + 22359/2176*c_1001_11^3 + 4721/544*c_1001_11^2 + 25559/4352*c_1001_11 + 2593/2176, c_1001_1 - 1, c_1001_11^8 + 13/4*c_1001_11^7 + 105/16*c_1001_11^6 + 177/16*c_1001_11^5 + 53/4*c_1001_11^4 + 99/8*c_1001_11^3 + 161/16*c_1001_11^2 + 69/16*c_1001_11 + 17/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB